10121012031329 has 2 divisors, whose sum is σ = 10121012031330. Its totient is φ = 10121012031328.

The previous prime is 10121012031301. The next prime is 10121012031343. The reversal of 10121012031329 is 92313021012101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9353902312225 + 767109719104 = 3058415^2 + 875848^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10121012031329 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10121012031298 and 10121012031307.

It is not a weakly prime, because it can be changed into another prime (10121012031379) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5060506015664 + 5060506015665.

It is an arithmetic number, because the mean of its divisors is an integer number (5060506015665).

Almost surely, 2^{10121012031329} is an apocalyptic number.

It is an amenable number.

10121012031329 is a deficient number, since it is larger than the sum of its proper divisors (1).

10121012031329 is an equidigital number, since it uses as much as digits as its factorization.

10121012031329 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 648, while the sum is 26.

The spelling of 10121012031329 in words is "ten trillion, one hundred twenty-one billion, twelve million, thirty-one thousand, three hundred twenty-nine".